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The dimensions and number of animals are given for different corrals.

\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{1}{|c|}{ Corral } & \multicolumn{1}{|c|}{ Length } & \multicolumn{1}{|c|}{ Width } & Number of Animals \\
\hline 1 & 50 meters & 40 meters & 110 \\
\hline 2 & 60 meters & 35 meters & 115 \\
\hline 3 & 55 meters & 45 meters & 125 \\
\hline 4 & 65 meters & 40 meters & 130 \\
\hline
\end{tabular}

The population constraints state that each corral should have at least 20 square meters for each animal. Which corral meets this requirement?

A. Corral 1
B. Corral 2
C. Corral 3
D. Corral 4

Sagot :

GinnyAnsweridn
To determine which corral meets the requirement of providing at least 20 square meters per animal, we need to evaluate the area available per animal for each corral. Here's a step-by-step explanation:

1. Calculate the area for each corral:
- Corral 1: [tex]\( 50 \, \text{meters} \times 40 \, \text{meters} = 2000 \, \text{square meters} \)[/tex]
- Corral 2: [tex]\( 60 \, \text{meters} \times 35 \, \text{meters} = 2100 \, \text{square meters} \)[/tex]
- Corral 3: [tex]\( 55 \, \text{meters} \times 45 \, \text{meters} = 2475 \, \text{square meters} \)[/tex]
- Corral 4: [tex]\( 65 \, \text{meters} \times 40 \, \text{meters} = 2600 \, \text{square meters} \)[/tex]

2. Calculate the area per animal for each corral:
- Corral 1: [tex]\( 2000 \, \text{square meters} \div 110 \, \text{animals} \approx 18.18 \, \text{square meters per animal} \)[/tex]
- Corral 2: [tex]\( 2100 \, \text{square meters} \div 115 \, \text{animals} \approx 18.26 \, \text{square meters per animal} \)[/tex]
- Corral 3: [tex]\( 2475 \, \text{square meters} \div 125 \, \text{animals} \approx 19.80 \, \text{square meters per animal} \)[/tex]
- Corral 4: [tex]\( 2600 \, \text{square meters} \div 130 \, \text{animals} = 20.00 \, \text{square meters per animal} \)[/tex]

3. Compare the calculated area per animal with the requirement:
- Corral 1: [tex]\( 18.18 \, < \, 20 \)[/tex] (does not meet the requirement)
- Corral 2: [tex]\( 18.26 \, < \, 20 \)[/tex] (does not meet the requirement)
- Corral 3: [tex]\( 19.80 \, < \, 20 \)[/tex] (does not meet the requirement)
- Corral 4: [tex]\( 20.00 \, \geq \, 20 \)[/tex] (meets the requirement)

Among the given corrals, only Corral 4 meets the requirement of providing at least 20 square meters per animal.

Answer: D. Corral 4
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